Analytic Function
An analytic function is a complex function that is complex differentiable at every point in a region.
Analytic function is a college-level concept that would be first encountered in a complex analysis course.
Examples
Exponential Function: | The exponential function is the function consisting of the base of the natural logarithm e taken to the power of a given variable. |
Polynomial: | A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. |
Power: | In arithmetic, a power is an exponent to which a given quantity is raised. |
Prerequisites
Complex Number: | A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane. |
Complex Plane: | The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane. |
Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |